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2000010000031 is a prime number
BaseRepresentation
bin11101000110101001111…
…000101011011010011111
321002012101010122220102121
4131012221320223122133
5230232010030000111
64130443015203411
7264332053334461
oct35065170533237
97065333586377
102000010000031
11701221560a7a
12283747376567
131167a5655c54
146cb2dd34131
1537058d05871
hex1d1a9e2b69f

2000010000031 has 2 divisors, whose sum is σ = 2000010000032. Its totient is φ = 2000010000030.

The previous prime is 2000010000019. The next prime is 2000010000049. The reversal of 2000010000031 is 1300000100002.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 2000010000031 - 27 = 2000009999903 is a prime.

It is a super-2 number, since 2×20000100000312 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2000009999969 and 2000010000023.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2000010000431) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1000005000015 + 1000005000016.

It is an arithmetic number, because the mean of its divisors is an integer number (1000005000016).

Almost surely, 22000010000031 is an apocalyptic number.

2000010000031 is a deficient number, since it is larger than the sum of its proper divisors (1).

2000010000031 is an equidigital number, since it uses as much as digits as its factorization.

2000010000031 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 6, while the sum is 7.

Adding to 2000010000031 its reverse (1300000100002), we get a palindrome (3300010100033).

The spelling of 2000010000031 in words is "two trillion, ten million, thirty-one", and thus it is an aban number and an uban number.